{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HFETNC6XBXEXI3KIASYMU55UKC","short_pith_number":"pith:HFETNC6X","canonical_record":{"source":{"id":"1711.05816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-11-15T21:40:01Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"631b321988a790a0355b0e8c71978682338b64e964810d494d1a325530dd8c2e","abstract_canon_sha256":"23d7ae8823b897176e339854cffc02ea6528942136efffb433bbaeb3ca40d3d4"},"schema_version":"1.0"},"canonical_sha256":"3949368bd70dc9746d4804b0ca77b4508f7f12b10cb6c0ecf39e4442e2f3c783","source":{"kind":"arxiv","id":"1711.05816","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05816","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05816v1","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05816","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"pith_short_12","alias_value":"HFETNC6XBXEX","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HFETNC6XBXEXI3KI","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HFETNC6X","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HFETNC6XBXEXI3KIASYMU55UKC","target":"record","payload":{"canonical_record":{"source":{"id":"1711.05816","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-11-15T21:40:01Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"631b321988a790a0355b0e8c71978682338b64e964810d494d1a325530dd8c2e","abstract_canon_sha256":"23d7ae8823b897176e339854cffc02ea6528942136efffb433bbaeb3ca40d3d4"},"schema_version":"1.0"},"canonical_sha256":"3949368bd70dc9746d4804b0ca77b4508f7f12b10cb6c0ecf39e4442e2f3c783","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:24.062406Z","signature_b64":"d1/48/6c5y0mEPtYeTP3wUKZVU7CFEjEw9KU85oC/kaoD1fGy6lxLEcKpzXd6coAs6t32upxf7KEdAEL87eyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3949368bd70dc9746d4804b0ca77b4508f7f12b10cb6c0ecf39e4442e2f3c783","last_reissued_at":"2026-05-18T00:30:24.061797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:24.061797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.05816","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USw8C/UtJmgFPKdkUpBHWBei019w6SU0Cru6rzsQiSFlgd9H1uKwbm6/Iwgnistpaihb/f21Mxzw7y3OIPVqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:22:20.228508Z"},"content_sha256":"8f2f099b76230c3e41c7434c1b40ddd153abdda5a016afd33fd5695798cd3559","schema_version":"1.0","event_id":"sha256:8f2f099b76230c3e41c7434c1b40ddd153abdda5a016afd33fd5695798cd3559"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HFETNC6XBXEXI3KIASYMU55UKC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"K3, L3, LP, RM3, A3, FDE: How to Make Many-Valued Logics Work for You","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.AI","authors_text":"Allen P. Hazen, Francis Jeffry Pelletier","submitted_at":"2017-11-15T21:40:01Z","abstract_excerpt":"We investigate some well-known (and a few not-so-well-known) many-valued logics that have a small number (3 or 4) of truth values. For some of them we complain that they do not have any \\emph{logical} use (despite their perhaps having some intuitive semantic interest) and we look at ways to add features so as to make them useful, while retaining their intuitive appeal. At the end, we show some surprising results in the system FDE, and its relationships with features of other logics. We close with some new examples of \"synonymous logics.\" An Appendix contains a natural deduction system for our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05816","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4jFkHZsF3W/hZA0Jbtm0EmMbw5Mr1pdVDY0v0s9pZtfO4mZniD8kVJRcNbrZfCfi2agfnWzZf29Op/3C6QSlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:22:20.229141Z"},"content_sha256":"04a7ccb33087a520b8f931f6037c16603a75988521088fe5bfb85592547eb5c8","schema_version":"1.0","event_id":"sha256:04a7ccb33087a520b8f931f6037c16603a75988521088fe5bfb85592547eb5c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HFETNC6XBXEXI3KIASYMU55UKC/bundle.json","state_url":"https://pith.science/pith/HFETNC6XBXEXI3KIASYMU55UKC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HFETNC6XBXEXI3KIASYMU55UKC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T15:22:20Z","links":{"resolver":"https://pith.science/pith/HFETNC6XBXEXI3KIASYMU55UKC","bundle":"https://pith.science/pith/HFETNC6XBXEXI3KIASYMU55UKC/bundle.json","state":"https://pith.science/pith/HFETNC6XBXEXI3KIASYMU55UKC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HFETNC6XBXEXI3KIASYMU55UKC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HFETNC6XBXEXI3KIASYMU55UKC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"23d7ae8823b897176e339854cffc02ea6528942136efffb433bbaeb3ca40d3d4","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-11-15T21:40:01Z","title_canon_sha256":"631b321988a790a0355b0e8c71978682338b64e964810d494d1a325530dd8c2e"},"schema_version":"1.0","source":{"id":"1711.05816","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05816","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05816v1","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05816","created_at":"2026-05-18T00:30:24Z"},{"alias_kind":"pith_short_12","alias_value":"HFETNC6XBXEX","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HFETNC6XBXEXI3KI","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HFETNC6X","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:04a7ccb33087a520b8f931f6037c16603a75988521088fe5bfb85592547eb5c8","target":"graph","created_at":"2026-05-18T00:30:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We investigate some well-known (and a few not-so-well-known) many-valued logics that have a small number (3 or 4) of truth values. For some of them we complain that they do not have any \\emph{logical} use (despite their perhaps having some intuitive semantic interest) and we look at ways to add features so as to make them useful, while retaining their intuitive appeal. At the end, we show some surprising results in the system FDE, and its relationships with features of other logics. We close with some new examples of \"synonymous logics.\" An Appendix contains a natural deduction system for our ","authors_text":"Allen P. Hazen, Francis Jeffry Pelletier","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-11-15T21:40:01Z","title":"K3, L3, LP, RM3, A3, FDE: How to Make Many-Valued Logics Work for You"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05816","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8f2f099b76230c3e41c7434c1b40ddd153abdda5a016afd33fd5695798cd3559","target":"record","created_at":"2026-05-18T00:30:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"23d7ae8823b897176e339854cffc02ea6528942136efffb433bbaeb3ca40d3d4","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2017-11-15T21:40:01Z","title_canon_sha256":"631b321988a790a0355b0e8c71978682338b64e964810d494d1a325530dd8c2e"},"schema_version":"1.0","source":{"id":"1711.05816","kind":"arxiv","version":1}},"canonical_sha256":"3949368bd70dc9746d4804b0ca77b4508f7f12b10cb6c0ecf39e4442e2f3c783","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3949368bd70dc9746d4804b0ca77b4508f7f12b10cb6c0ecf39e4442e2f3c783","first_computed_at":"2026-05-18T00:30:24.061797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:24.061797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d1/48/6c5y0mEPtYeTP3wUKZVU7CFEjEw9KU85oC/kaoD1fGy6lxLEcKpzXd6coAs6t32upxf7KEdAEL87eyCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:24.062406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05816","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f2f099b76230c3e41c7434c1b40ddd153abdda5a016afd33fd5695798cd3559","sha256:04a7ccb33087a520b8f931f6037c16603a75988521088fe5bfb85592547eb5c8"],"state_sha256":"5f055e682e1c92ba688d1b778064e013b60615ff52c07a716cff6bc42ea3ed37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEGYGtY+XeiOWfEl6Jm0G7J/cOMLJsaJFDS/dl/D2/i5NSdB1ucy6kYqp6+08ehr/0FMmuGI0X+3q+Ue4uvuBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:22:20.234109Z","bundle_sha256":"2347bec84957f8e19fae504d882f1da2ed393f9ced6bb66e2ad01a911a9fff71"}}